Platform and Scale - Michael's tutorial

Motion alphabets

The speech disappears as a choreographic score is being explained: https://vimeo.com/125775432

Voice and Choreography from Yvonne Rainer

further references: http://www.yhchang.com/PERFECT_ARTISTIC_WEB_SITE.html

Type and Numbers : writing movement

I gave my dancers ‘ and myself ‘ the following general instruction: “Take an equation, solve it; take the result and fold it back into the equation and then solve it again. Keep doing this a million times.

I imagine that in this new form, performance and recording and notation ‘ three strands of the performing arts that have always been separate ‘ will be fused. So that you can have the notation shaping the performance, the performance shaping the recording, the recording shaping the notation, and so on. Perhaps this new process, which builds on itself, can bootstrap a new way of making art.

Where I’d start is with the score. What’s been missing so far is an intelligent kind of notation, one that would let us generate dances from a vast number of varied inputs. Not traditional notation, but a new kind mediated by the computer. ” - William Forsythe.

"Whether they are islands of re-connection, experiments on mind-body stimulation or a spiritual search for essential motion, contemporary dance works express the concerns of our time: they question the value we give to existing in real space and time, and make us face or realize our desire to challenge the physical, social and psychological laws that govern us, and to actively enter the “dynamic reverie” (Bachelard, 1943, p.8) as dreamers of our perception."

1. Fase. Four movements to the music of Steve Reich. Choreography: Anne Teresa De Keersmaeker. : https://www.youtube.com/watch?v=NlZulJ0RtAU

and about phrases: https://www.youtube.com/watch?v=rVARoknuUcg

Texts and Machine, Latour:

"Linguistics differentiate the syntagmatic dimension of a sentence from the paradigmatic aspect. The syntagmatic dimension (AND) is the possibility of associating more and more words in a grammatically correct sentence. (…) The number of elements tied together increases, and nevertheless is still meaningful. The paradigmatic dimension (OR) is the possibility, in a sentence of a given length, of substituting a word for another while still maintaining a grammatically correct sentence (shifting to another matter).

Linguistics claim that these two dimensions allow them to describe the system of any language (powerful means of describing a dynamic of an artifact)."

The concept of symmetry, central to geometry and to mathematics as a whole, evolved during the 18th century, and is often equated with the emergence of modern mathematics. In common usage, symmetry refers to a correspondence between the parts of a figure or pattern.

A major development in our understanding of symmetry occurred when the correspondence was conceived of as an OPErATION on the figure, rather than a PrOPErTy of it. For example, the equality of the lengths of the sides of a square can be expressed as the invariance of the square under a quarter turn. This represents a crucial shift away from a static, figurative conception of symmetry and towards a dynamic, operative one.

With the notion of a symmetry operation two natural possibilities arise.

1. the possibility of composing two symmetry operations, one after another, and, conversely, decomposing a symmetry operation into simpler components.

2. the possibility of interpreting any operation on a space as a formal symmetry, be it pure, pleasing, or otherwise.

Questions about configurations of incident lines date back to the Greeks, but it wasn’t until much later that the mathematical study of perspectival symmetry, projective geometry, took form. .. For Dehn, these new geometries brought an intelligence to mathematics implicit in sensory experience.

It has become more and more apparent that different systems can be visualized, that, say, different types of spaces are compatible with experience. This is not to imply that the mathematician can now choose his assumptions at will. Not only is such arbitrariness likely to result in developments without beauty, but it is also likely to lead to contradictions that make all of the work an illusion.

http://en.wikipedia.org/wiki/Symmetry_in_mathematics

Philip Ording: A DEFINITE INTUITION

Arithmetic or arithmetics (from the Greek ἀριθμός arithmos, "number") is the oldest and most elementary branch of mathematics. It consists of the study of numbers, especially the properties of the traditional operations between them — addition, subtraction, multiplication and division.)

Elementary algebra The number 0 is the smallest non-negative integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, but it is a whole number and hence a rational number and a real number (as well as an algebraic number and a complex number).

The number 0 is neither positive nor negative and appears in the middle of a number line. It is neither a prime number nor a composite number. It cannot be prime because it has an infinite number of factors and cannot be composite because it cannot be expressed by multiplying prime numbers (0 must always be one of the factors).[40] Zero is, however, even.

The following are some basic (elementary) rules for dealing with the number 0. These rules apply for any real or complex number x, unless otherwise stated.

Addition: x + 0 = 0 + x = x. That is, 0 is an identity element (or neutral element) with respect to addition. Subtraction: x − 0 = x and 0 − x = −x. Multiplication: x · 0 = 0 · x = 0. Division: 0⁄x = 0, for nonzero x. But x⁄0 is undefined, because 0 has no multiplicative inverse (no real number multiplied by 0 produces 1), a consequence of the previous rule. Exponentiation: x0 = x/x = 1, except that the case x = 0 may be left undefined in some contexts. For all positive real x, 0x = 0. The expression 0⁄0, which may be obtained in an attempt to determine the limit of an expression of the form f(x)⁄g(x) as a result of applying the lim operator independently to both operands of the fraction, is a so-called "indeterminate form". That does not simply mean that the limit sought is necessarily undefined; rather, it means that the limit of f(x)⁄g(x), if it exists, must be found by another method, such as l'Hôpital's rule.

The sum of 0 numbers is 0, and the product of 0 numbers is 1. The factorial 0! evaluates to 1.

http://en.wikipedia.org/wiki/Zero_element

Conditional (CASE) expressions

CASE WHEN n > 0

         THEN 'positive' 
    WHEN n < 0 
         THEN 'negative'
    ELSE 'zero'

END